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# Complex Number, Trigonometric Form, Quadrant IV, Exact Value

TRIG-9BKE4P

Write the complex number $z=2-2\sqrt { 3 } i$ in trigonometric form.

A

$z=4\left( \cos { \left( -\cfrac { \pi }{ 4 } \right) +i } \sin { \left( -\cfrac { \pi }{ 4 } \right) } \right)$

B

$z=4\left( \cos { \left( -\cfrac { \pi }{ 2 } \right) +i } \sin { \left( -\cfrac { \pi }{ 2 } \right) } \right)$

C

$z=4\left( \cos { \left( \cfrac {\ pi }{ 3 } \right) +i } \sin { \left( \cfrac { \pi }{ 3 } \right) } \right)$

D

$z=4\left( \cos { \left( -\cfrac { \pi }{ 3 } \right) +i } \sin { \left( -\cfrac { \pi }{ 3 } \right) } \right)$